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Finding the Fourth Proportional to 153,065.32, 229,597.66 and 42,257

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Solution

The fourth proportional to 153,065.32, 229,597.66 and 42,257 is: 63,385.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,065.32 : 229,597.66 = 42,257 : x
  2. Step 2: Convert to fraction form
    153,065.32/229,597.66 = 42,257/x
  3. Step 3: Cross multiply
    153,065.32x = 229,597.66 × 42,257
  4. Step 4: Simplify right side
    153,065.32x = 9,702,108,318.62
  5. Step 5: Solve for x
    x = 9,702,108,318.62/153,065.32
  6. Step 6: Final answer
    x = 63,385.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.